Measures: manual control, smothering, flooding, burning, mechanical control (cutting), chemical control, biological (animals, fungi, etc.), but manual control is most effective and sympathetic with conserving natural ecosystems. But 'the notion of being sure that you have completely eradicated an invasive species is fanciful because of imperfect detection and persistent seed banks'. See:

Optimal eradication: when to stop looking for an invasive plant, Ecology Letters, (2006) 9: 759–766 doi: 10.1111/j.1461-0248.2006.00920.x

I hope this helps :-)

Depends on the species, you have to know the population dynamics, so you can attack the plant in their most vulnerable stage.

Check this 

Mating system, population growth, and management scenario for Kalanchoe pinnata in an invaded seasonally dry tropical forest

http://onlinelibrary.wiley.com/doi/10.1002/ece3.2219/full

You see eradication of invasive species depends on ecological amplitude of a particular invasive species. However , once an invasive species spread in larger areas , it is generally very difficult its complete eradication . Billions of dollars have been spent on eradication of Prosopis juliflora in US , Mexico , Australia , etc. but success could not be achieved . In Rajasthan state of India attempts were made by Forest Department to eradicate the species but desired success could not be achieved . For eradication of an invasive species best thing is to understand its uses.For example , we worked on Prosopis juliflora uses and found that its pods if crushed with seeds , they form a very nutritious feed for livestock with little bit processing . If the seeds  are crushed along with pods, the problem of unwanted spread of seeds and consequent germination can be checked because seeds of this species are spread by livestock . Stray livestock or migrating livestock if consume raw pods , the seeds of the Species are treated during digestion process . Because seed coat of the species is so hard that without treatment its germination of seeds are not possible . The best approach to manage an invasive species is to search the ways and means for its utilisation.

I suggest that you try the recently published book 'Detecting and Responding to Alien Plant Incursions' by John R Wilson, F Dane Panetta and Cory Lindgren.  This was published by Cambridge University Press in March 2017 within the 'Ecology, Biodiversity and Conservation' series of books.

Michael Usher is spot on with that recommendation. Simberloff has some good articles about the general theme of eradications of invasive species.  Here are some articles about this theme that I am fond of.

Article Prevention, Eradication, and Containment of Invasive Species...

Article A successful model from Hawaii for rapid response to invasive species

Article The successful eradication of two blackberry species Rubus m...

Article Eradicating multiple invasive species on inhabited islands: ...

Technical Report Estrategias para la erradicación de 21 especies de plantas p...

Article Estimating eradication probabilities and trade-offs for deci...

Article Lessons from successful plant eradications in Galapagos: com...

Another example is that USDA-APHIS-PPQ is nearing eradication of witchweed in the US.

https://www.invasivespeciesinfo.gov/plants/witchweed.shtml

Dear Arun,

There is an eradication example of Carpobrotus acinaciformis on the small island of Bagaud in Southern France, this project has been accompanied by two of my colleages, Laurence Affre and Elise Buisson, with a follow up of community replacement and measures of erosion, You might contact them for details they are alos on research gate,

all the best

Arne