positive forms and stability of linear timedelay systems
báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
Ngày tải lên :
21/06/2014, 11:20
... s
ds,
1.8
where P and Q are positive matrices and γ is a positive scalar.
Delay independent criteria of stability for some classes of delay neutral systems are
developed in 10. The stability of systems ... and P. Yu, Stability of Dynamical Systems, vol. 5 of Monograph Series on Nonlinear
Science and Complexity, Elsevier, Amsterdam, the Netherlands, 2007.
12 Ju H. Park and S. Won, “A note on stability ... exponential stability of system 1.1 as well as
on estimates of the norms of its solutions and their derivatives in the case of exponential
stability and in the case of exponential stability being...
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- 0
Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt
Ngày tải lên :
22/06/2014, 22:20
... Discrete systems of the form (1.1) containing only one delay are often
called systems with pure delay. The main goal of the present paper is to extend the notion
of the delayed exponential of a matrix ... type technique and retract principle), some of these
problems have been investigated, for example, in the recent papers [2–9, 11–13].
REPRESENTATION OF SOLUTIONS OF LINEAR
DISCRETE SYSTEMS WITH ... CONSTANT
COEFFICIENTS AND PURE DELAY
J. DIBL
´
IK AND D. YA. KHUSAINOV
Received 16 January 2006; Accepted 22 January 2006
The purpose of this contribution is to develop a method for construction of solutions
of linear...
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Báo cáo toán học: "The Central Exponent and Asymptotic Stability of Linear Differential Algebraic Equations of Index 1" pdf
Ngày tải lên :
06/08/2014, 05:20
... theory of ODE we show that each solution of (3.1) is a
solution of a linear equation of the form
The Central Exponent and Asymptotic Stability 13
Now we consider again the case of nonlinear ... consisting of a system of ordinary differential equations
(ODEs) and a system of algebraic equations so that we can use methods and
results of the theory of ODEs. Many results on stability properties of ... exponents of linear DAEs
of index 1. In Sec. 3 we investigate exponential asymptotic stability of linear
DAEs with respect to small linear as well as nonlinear perturbation.
2. The Central Exponent of...
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Analysis and Control of Linear Systems - Chapter 0 pptx
Ngày tải lên :
09/08/2014, 06:23
... determinist systems: the concept of state 44
2.1.2. Equations of state and equations of measurement for
continuous systems 46
2.1.3. Case of linear systems 47
2.1.4. Case of continuous and invariant ... of linear and invariant systems 66
2.4.3. Canonic representation of partially controllable systems 69
2.4.4. Scalar representation of partially controllable systems 73
2.5. Observability of ... of systems 74
2.5.1. General definitions 74
2.5.2. Observability of linear and invariant systems 74
2.5.3. Case of partially observable systems 77
2.5.4. Case of partially controllable and...
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Analysis and Control of Linear Systems - Chapter 1 pptx
Ngày tải lên :
09/08/2014, 06:23
... by
equations of state.
Asymptotic stability
Stability in the broad sense
Unstable
Figure 1.7. Concepts of stability
Another point of view can be adopted where the stability of a system can ... of Linear Systems
Figure 1.19. Unit-step response of the second order system
ξ
≥
1
1=
ξ
: critical state. The roots of the denominator of the transfer function are
real and merged, and ... Analysis and Control of Linear Systems
In general, the Dirac impulse is a very simplified model of any impulse
phenomenon centered in
o
tt = , with a shorter period than the time range of the
systems...
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Analysis and Control of Linear Systems - Chapter 3 pps
Ngày tải lên :
09/08/2014, 06:23
... 2002.
94 Analysis and Control of Linear Systems
NOTE 3.3.– the class of rational systems that can be described by [3.16] or [3.18] is
a sub-class of DLTI systems. To be certain of this, let us ... Analysis and Control of Linear Systems
Figure 3.5. Bode diagram of the continuous system and its discretization
3.4.5. The problem of sub-sampling
Let us consider the case of a “standardized” ...
i
n is the
multiplicity order of
i
λ
and i
th
the eigenvalue of A.
5 A canonical form called controllable companion.
88 Analysis and Control of Linear Systems
Hence, if we suppose...
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Analysis and Control of Linear Systems - Chapter 4 ppt
Ngày tải lên :
09/08/2014, 06:23
... the use of rollouts and in particular
the fixed poles and the remaining degrees of freedom, we can mention [MAL 93,
MAL 97] and [MAR 94, MAR 99].
126 Analysis and Control of Linear Systems ... 0):
110 Analysis and Control of Linear Systems
The object of this chapter is to describe certain structural properties of linear
systems that condition the resolution of numerous control ... illustrates the invariance properties of the various structures of these
canonical forms (indices of controllability, of observability, finite and infinite zeros)
and of the associated transformation...
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Analysis and Control of Linear Systems - Chapter 5 pptx
Ngày tải lên :
09/08/2014, 06:23
... of ν
0
.
142 Analysis and Control of Linear Systems
A discrete-time deterministic signal y[k],k ∈Zis, by definition, a sequence of
complex numbers:
y =
y[k]
k∈Z
In short, we often speak of ... y
2
)
=
y
1
y
2
[5.9]
152 Analysis and Control of Linear Systems
Figure 5.1. Typical power spectrum of an MA (left)
or AR (right) model
In the case of a single denominator (n
c
=0), we talk of an AR (autoregressive)
model, ... Signals: Deterministic and Statistical Models 153
5.4. Modeling of LTI systems and ARMAX modeling
Let us take a linear time-invariant (LTI) system, of impulse response g. The
response of this system...
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Analysis and Control of Linear Systems - Chapter 6 ppsx
Ngày tải lên :
09/08/2014, 06:23
... the condition of detectability by a careful choice of matrix Q.
162 Analysis and Control of Linear Systems
case of multi-control systems. As indicated in Chapter 2, the equations of state can ... at the expense of a stronger control.
176 Analysis and Control of Linear Systems
Figure 6.6. Stabilization by quadratic optimization
166 Analysis and Control of Linear Systems
Figure ... 174 Analysis and Control of Linear Systems
there is a unique matrix
P
, symmetric and positive semi-defined, solution of the
following equation (called discrete...
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- 0
Analysis and Control of Linear Systems - Chapter 7 docx
Ngày tải lên :
09/08/2014, 06:23
... from the point of view
of calculation, in terms of linear regression (or linearized), i.e. it leads to a quadratic
196 Analysis and Control of Linear Systems
in performing the roles of the procedure, ... K
1
N
10
1+
1
2
n
1
N
10
[7.21]
222 Analysis and Control of Linear Systems
iteration, unstable), interrupt the simulation and the calculation of sensitivity func-
tions, hence of the gradient, on a preset upper ... calculation of a criterion whose theoretical value for the current set of
parameters diverges (for example, a transfer output error whose poles are, during an
218 Analysis and Control of Linear Systems
following...
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Analysis and Control of Linear Systems - Chapter 8 ppsx
Ngày tải lên :
09/08/2014, 06:23
... Analysis and Control of Linear Systems
Consequently, the field of absolute stability of multi-interval methods (implicit or
not depending on the value of
0
) is the set of à C so that the roots of ... requirements of speed and accuracy
accessible in simulation.
8.2. Standard linear equations
8.2.1. Definition of the problem
We will adopt the notations usually used to describe the state forms and linear
dynamic ... desired and to perform the corre-
sponding substitutions. Let us take the example of the classic PID regulator. Let e(t)
230 Analysis and Control of Linear Systems
The sizes of blocks 0 and I...
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Analysis and Control of Linear Systems - Chapter 9 pot
Ngày tải lên :
09/08/2014, 06:23
...
study the case of open loop stable systems, that of integrator systems and finally the
case of open loop unstable systems.
270 Analysis and Control of Linear Systems
We note that when
ξ
tends ... and the
phase is of
π
− . The image of the ray [0,]
`−
∞− is the symmetric curve, with
respect to the axis of real numbers. The image of the semicircle of radius
ε
is an arc
of circle of ... other
hand.
The quality of the feedback control is mainly translated through its stability and
the follow-up precision of the output on the input and consequently of the dynamics
of this...
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