Add to ORKGThe sum of squares (SOS) decomposition technique allows numerical methods such as semidefinite programming to be used for proving the positivity of multivariable polynomial functions. It is well known that it is not an easy task to find Lyapunov functions for stability analysis of nonlinear systems. An algorithmic tool is used in this work for solving this problem. This approach is presented as SOS programming and solutions were obtained with a Matlab toolbox. Simple examples of SOS concepts, stability analysis for nonlinear polynomial and rational systems with uncertainties in parameters are presented to show the use of this tool. Besides these approaches, an alternative stability analysis for switched systems using a polynomial approach i...
Abstract — This tutorial is about new system analysis techniques that were developed in the past few...
Sum of Squares programming has been used extensively over the past decade for the stability analysis...
We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of regions-of-attr...
The sum of squares (SOS) decomposition technique allows numerical methods such as semidefinite progr...
Recent advances in semidefinite programming along with use of the sum of squares decomposition to ch...
Recent advances in semidefinite programming along with use of the sum of squares decomposition to ch...
This paper introduces a general framework for analysing nonlinear systems using absolute stability t...
A relaxation of Lyapunov's direct method has been proposed elsewhere that allows for an algorithmic ...
This paper introduces a general framework for analysing systems that have non-polynomial, uncertain ...
International audienceTransient stability is an important issue in power systems but difficult to qu...
The dynamics of many systems from physics, economics, chemistry, and biology can be modelled through...
International audienceIn this paper, another step on relaxation for Ta-kagi-Sugeno systems' stabilit...
This thesis introduces, develops and applies methods for analysing nonlinear systems with the multip...
Razradom obilježja konveksnih i afinih skupova i funkcija, postavljena je osnova nužna za definiran...
The developments and control applications of SOSTOOLS, a free third-party MATLAB toolbox for formula...
Abstract — This tutorial is about new system analysis techniques that were developed in the past few...
Sum of Squares programming has been used extensively over the past decade for the stability analysis...
We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of regions-of-attr...
The sum of squares (SOS) decomposition technique allows numerical methods such as semidefinite progr...
Recent advances in semidefinite programming along with use of the sum of squares decomposition to ch...
Recent advances in semidefinite programming along with use of the sum of squares decomposition to ch...
This paper introduces a general framework for analysing nonlinear systems using absolute stability t...
A relaxation of Lyapunov's direct method has been proposed elsewhere that allows for an algorithmic ...
This paper introduces a general framework for analysing systems that have non-polynomial, uncertain ...
International audienceTransient stability is an important issue in power systems but difficult to qu...
The dynamics of many systems from physics, economics, chemistry, and biology can be modelled through...
International audienceIn this paper, another step on relaxation for Ta-kagi-Sugeno systems' stabilit...
This thesis introduces, develops and applies methods for analysing nonlinear systems with the multip...
Razradom obilježja konveksnih i afinih skupova i funkcija, postavljena je osnova nužna za definiran...
The developments and control applications of SOSTOOLS, a free third-party MATLAB toolbox for formula...
Abstract — This tutorial is about new system analysis techniques that were developed in the past few...
Sum of Squares programming has been used extensively over the past decade for the stability analysis...
We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of regions-of-attr...