On Swarm Stability of Linear Time-Invariant Descriptor Compartmental Networks
نویسندگان
چکیده
Swarm stability is concerned for descriptor compartmental networks with linear time-invariant protocol. Compartmental network is a specific type of dynamical multi-agent system. Necessary and sufficient conditions for both consensus and critical swarm stability are presented, which require a joint matching between the interactive dynamics of nearest neighboring vertices and the Laplacian spectrum of the overall network topology. Three numerical instances are illustrated to verify the theoretical results.
منابع مشابه
Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback
A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...
متن کاملDetermining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form
A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...
متن کاملStrong Absolute Stability of Lur’e Descriptor Systems with Impulsive Models in the Linear Subsystem
Descriptor systems which are also referred to as singular systems are described by differential equations and algebraic equations [1]. It has been widely applied in the areas of power systems, economic systems, biological systems, constrained robots, electronic networking, aerospace, chemical process and astronomy (solar activity)[1-4]. Stability of descriptor systems is a basic and important p...
متن کاملRelative Mapping Errors of Linear Time Invariant Systems Caused By Particle Swarm Optimized Reduced Order Model
The authors present an optimization algorithm for order reduction and its application for the determination of the relative mapping errors of linear time invariant dynamic systems by the simplified models. These relative mapping errors are expressed by means of the relative integral square error criterion, which are determined for both unit step and impulse inputs. The reduction algorithm is ba...
متن کاملReduction of Linear Time-Invariant Systems Using Routh-Approximation and PSO
Order reduction of linear-time invariant systems employing two methods; one using the advantages of Routh approximation and other by an evolutionary technique is presented in this paper. In Routh approximation method the denominator of the reduced order model is obtained using Routh approximation while the numerator of the reduced order model is determined using the indirect approach of retaini...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/1401.3815 شماره
صفحات -
تاریخ انتشار 2014